🎓 Initial commit: Math2 Platform - Plataforma de Álgebra Lineal PRO

✨ Características:
- 45 ejercicios universitarios (Basic → Advanced)
- Renderizado LaTeX profesional
- IA generativa (Z.ai/DashScope)
- Docker 9 servicios
- Tests 123/123 pasando
- Seguridad enterprise (JWT, XSS, Rate limiting)

🐳 Infraestructura:
- Next.js 14 + Node.js 20
- PostgreSQL 15 + Redis 7
- Docker Compose completo
- Nginx + SSL ready

📚 Documentación:
- 5 informes técnicos completos
- README profesional
- Scripts de deployment automatizados

Estado: Producción lista ✅

scripts/health-check.sh

@@ -0,0 +1,172 @@
+#!/bin/bash
+# ================================================
+# Math Platform - Health Check Script
+# ================================================
+
+set -e
+
+# Colors for output
+RED='\033[0;31m'
+GREEN='\033[0;32m'
+YELLOW='\033[1;33m'
+BLUE='\033[0;34m'
+NC='\033[0m' # No Color
+
+echo -e "${BLUE}============================================${NC}"
+echo -e "${BLUE}Math Platform - Health Check${NC}"
+echo -e "${BLUE}============================================${NC}"
+
+# Function to check service health
+check_service() {
+    local service_name=$1
+    local url=$2
+    local expected_code=${3:-200}
+
+    echo -n "Checking $service_name... "
+
+    local response=$(curl -s -o /dev/null -w "%{http_code}" "$url" 2>/dev/null || echo "000")
+
+    if [ "$response" = "$expected_code" ]; then
+        echo -e "${GREEN}OK${NC} (HTTP $response)"
+        return 0
+    else
+        echo -e "${RED}FAILED${NC} (HTTP $response, expected $expected_code)"
+        return 1
+    fi
+}
+
+# Function to check Docker container
+check_container() {
+    local container_name=$1
+
+    echo -n "Checking container $container_name... "
+
+    if docker ps | grep -q "$container_name"; then
+        local status=$(docker inspect --format='{{.State.Health.Status}}' "$container_name" 2>/dev/null || echo "no-health-check")
+
+        if [ "$status" = "healthy" ] || [ "$status" = "no-health-check" ]; then
+            echo -e "${GREEN}RUNNING${NC} ($status)"
+            return 0
+        else
+            echo -e "${YELLOW}UNHEALTHY${NC} ($status)"
+            return 1
+        fi
+    else
+        echo -e "${RED}NOT RUNNING${NC}"
+        return 1
+    fi
+}
+
+# Function to check disk space
+check_disk_space() {
+    echo -n "Checking disk space... "
+
+    local usage=$(df -h / | awk 'NR==2 {print $5}' | sed 's/%//')
+
+    if [ "$usage" -lt 80 ]; then
+        echo -e "${GREEN}OK${NC} (${usage}% used)"
+        return 0
+    elif [ "$usage" -lt 90 ]; then
+        echo -e "${YELLOW}WARNING${NC} (${usage}% used)"
+        return 1
+    else
+        echo -e "${RED}CRITICAL${NC} (${usage}% used)"
+        return 1
+    fi
+}
+
+# Function to check memory usage
+check_memory() {
+    echo -n "Checking memory usage... "
+
+    local mem_usage=$(free | awk 'NR==2{printf "%.0f", $3*100/$2 }')
+
+    if [ "$mem_usage" -lt 80 ]; then
+        echo -e "${GREEN}OK${NC} (${mem_usage}% used)"
+        return 0
+    elif [ "$mem_usage" -lt 90 ]; then
+        echo -e "${YELLOW}WARNING${NC} (${mem_usage}% used)"
+        return 1
+    else
+        echo -e "${RED}CRITICAL${NC} (${mem_usage}% used)"
+        return 1
+    fi
+}
+
+# Function to check Docker resources
+check_docker_resources() {
+    echo -n "Checking Docker resources... "
+
+    local available=$(docker info 2>/dev/null | grep "CPUs" | head -1 | awk '{print $2}')
+
+    if [ -n "$available" ]; then
+        echo -e "${GREEN}OK${NC} ($available CPUs available)"
+        return 0
+    else
+        echo -e "${RED}FAILED${NC} (Docker not available)"
+        return 1
+    fi
+}
+
+# Main health check
+main() {
+    local failed=0
+
+    echo -e "\n${BLUE}Container Status${NC}"
+    echo "----------------------------------------"
+
+    check_container "math-postgres" || failed=$((failed + 1))
+    check_container "math-redis" || failed=$((failed + 1))
+    check_container "math-backend" || failed=$((failed + 1))
+    check_container "math-frontend" || failed=$((failed + 1))
+    check_container "math-nginx" || failed=$((failed + 1))
+
+    echo -e "\n${BLUE}Service Health${NC}"
+    echo "----------------------------------------"
+
+    check_service "Backend API" "http://localhost:3001/health" "200" || failed=$((failed + 1))
+    check_service "Frontend" "http://localhost:3000" "200" || failed=$((failed + 1))
+    check_service "Nginx" "http://localhost/" "200" || failed=$((failed + 1))
+
+    echo -e "\n${BLUE}System Resources${NC}"
+    echo "----------------------------------------"
+
+    check_disk_space || failed=$((failed + 1))
+    check_memory || failed=$((failed + 1))
+    check_docker_resources || failed=$((failed + 1))
+
+    echo -e "\n${BLUE}Database Connection${NC}"
+    echo "----------------------------------------"
+
+    echo -n "Checking PostgreSQL connection... "
+    if docker exec math-postgres pg_isready -U mathuser -d mathdb &>/dev/null; then
+        echo -e "${GREEN}OK${NC}"
+    else
+        echo -e "${RED}FAILED${NC}"
+        failed=$((failed + 1))
+    fi
+
+    echo -n "Checking Redis connection... "
+    if docker exec math-redis redis-cli -a "${REDIS_PASSWORD:-redis_secure_password_2024}" ping &>/dev/null; then
+        echo -e "${GREEN}OK${NC}"
+    else
+        echo -e "${RED}FAILED${NC}"
+        failed=$((failed + 1))
+    fi
+
+    # Summary
+    echo -e "\n${BLUE}============================================${NC}"
+    echo -e "${BLUE}Summary${NC}"
+    echo -e "${BLUE}============================================${NC}"
+
+    if [ $failed -eq 0 ]; then
+        echo -e "${GREEN}All checks passed!${NC}\n"
+        exit 0
+    else
+        echo -e "${RED}$failed check(s) failed!${NC}\n"
+        exit 1
+    fi
+}
+
+# Run main function
+main